question_answer 4)

                Fine the multiplicative inverse of the following:                 (i) \[-13\]                                             (ii) \[\frac{-13}{19}\]                       (iii) \[\frac{1}{5}\]                                            (iv) \[\frac{-5}{8}\times \,\frac{-3}{7}\] (v)\[-1\times \,\frac{-2}{5}\]                       (vi) ? 1.

Answer:

                (i) \[-13\]                                                             The multiplicative inverse of ? 13 is \[\frac{-1}{13}\]. (ii) \[\frac{-13}{19}\] The multiplicative inverse of \[\frac{-13}{19}\] is \[\frac{-19}{13}\]. (iii) \[\frac{1}{5}\]                                            The multiplicative inverse of \[\frac{1}{5}\] is 5. (iv) \[\frac{-5}{8}\times \,\frac{-3}{7}\] \[\frac{-5}{8}\times \,\frac{-3}{7}\,=\frac{(-5)\times (-3)}{8\times 7}\,=\frac{15}{56}\] Therefore, the multiplicative inverse of \[\frac{-5}{8}\times \frac{-3}{7}\,\text{is}\,\frac{56}{15}\]. (v)\[-1\times \,\frac{-2}{5}\]                       \[-1\times \,\frac{-2}{5}\,=\frac{(-1)\times (-2)}{5}\,=\frac{2}{5}\] Therefore, the multiplicative inverse of \[-1\times \frac{-2}{5}\,\text{is}\,\frac{5}{2}\] (vi) ? 1 The multiplicative inverse of ? 1 is ? 1.                    |\[\because \]\[(-1)\times (-1)=1\]